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Finding the Fourth Proportional to 12,454.51, 17,189.78 and 7,421.68

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Solution

The fourth proportional to 12,454.51, 17,189.78 and 7,421.68 is: 10,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.51 : 17,189.78 = 7,421.68 : x
  2. Step 2: Convert to fraction form
    12,454.51/17,189.78 = 7,421.68/x
  3. Step 3: Cross multiply
    12,454.51x = 17,189.78 × 7,421.68
  4. Step 4: Simplify right side
    12,454.51x = 127,577,009.32
  5. Step 5: Solve for x
    x = 127,577,009.32/12,454.51
  6. Step 6: Final answer
    x = 10,243.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.